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Differential Equations
Find the differential equation of the family of curves y = e^x (Acos x + Bsin x) where A and B are arbitrary constants and hence solve the equation.
Differential Equations
1. Classify the following statements as true or false giving reasons for your answers.
i) y = 0 , is the singular solution of the differential equation 27y - 8(dy/dx)^3 =0.
ii) The differential equation corresponding to the equation y = cx^2 + 1 is (dy/dx) - (2y/x) = -(2/x).
iii) y' + P(x) y = Q(x) y^n is a linear equation for integral values of n.
iv) PDE u (du/dx) = e^y sin x, u = u(x, y) is a quasi-linear p.d.e.
v) The differential equation
t(d^2z/dx^2)+2(d^2z/dxdt)+x(d^2z/dt^2)+(dz/dx)=0
is elliptic if xt <1.
i) y = 0 , is the singular solution of the differential equation 27y - 8(dy/dx)^3 =0.
ii) The differential equation corresponding to the equation y = cx^2 + 1 is (dy/dx) - (2y/x) = -(2/x).
iii) y' + P(x) y = Q(x) y^n is a linear equation for integral values of n.
iv) PDE u (du/dx) = e^y sin x, u = u(x, y) is a quasi-linear p.d.e.
v) The differential equation
t(d^2z/dx^2)+2(d^2z/dxdt)+x(d^2z/dt^2)+(dz/dx)=0
is elliptic if xt <1.
Differential Equations
Why maxima is found when second derivative is less than zero?
Why minima is found when second derivative is grater than zero?
Why and when the minima is grater than maxima. Please explain with example.
Why minima is found when second derivative is grater than zero?
Why and when the minima is grater than maxima. Please explain with example.
Differential Equations
sketch the curve x^3-x^2-6x
Differential Equations
if x-2y=6, find the greatest value of y
Differential Equations
sketch the curve x^3-x^2-6x
if x-2y=6, find the greatest value of y
if x-2y=6, find the greatest value of y
Differential Equations
xp+3yp=2(z-x2p2) solve this equation.
Differential Equations
find the derivative of the function??
1. X1/2 ( x2 + x - 4 )
1. X1/2 ( x2 + x - 4 )
Differential Equations
find the general solution for the differential equation
y'-6x^2=-6x^2
y'-6x^2=-6x^2
Differential Equations
Solve for i(t) for the circuite, given that V(t) = 10 sin5t V, R=4 W and L =2 H. (Ri + L dt/di = v)
